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Finding the Third Proportional to 72,667 and 155,690

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Solution

The third proportional to 72,667 and 155,690 is: 333,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,667 : 155,690 = 155,690 : x
  2. Step 2: Convert to fraction form
    72,667/155,690 = 155,690/x
  3. Step 3: Cross multiply
    72,667x = 155,690 × 155,690
  4. Step 4: Simplify right side
    72,667x = 24,239,376,100
  5. Step 5: Solve for x
    x = 24,239,376,100/72,667
  6. Step 6: Final answer
    x = 333,567.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.